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    Question

    If the 4-digit number x67y is exactly divisible by 9,

    then the least value of (x + y) is _____.
    A 3 Correct Answer Incorrect Answer
    B 5 Correct Answer Incorrect Answer
    C 9 Correct Answer Incorrect Answer

    Solution

    x67y is exactly divisible by 9 The sum of its digits must be divisible by 9 x + 6 + 7 + y = x + y + 13 is divisible by 9 Minimum value x + y must be equal to 5 because then the sum will be 18 and it is divisible by 9. ∴ The least value of (x + y) is 5.

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